72127200 has 144 divisors (see below), whose sum is σ = 240828336. Its totient is φ = 18739200.

The previous prime is 72127177. The next prime is 72127201. The reversal of 72127200 is 272127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72127201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98034 + ... + 98766.

It is an arithmetic number, because the mean of its divisors is an integer number (1672419).

Almost surely, 2^72127200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120414168).

72127200 is an abundant number, since it is smaller than the sum of its proper divisors (168701136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72127200 is a wasteful number, since it uses less digits than its factorization.

72127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 72127200 is about 8492.7733986019. The cubic root of 72127200 is about 416.2616081316.

Adding to 72127200 its reverse (272127), we get a palindrome (72399327).

It can be divided in two parts, 72127 and 200, that added together give a palindrome (72327).

The spelling of 72127200 in words is "seventy-two million, one hundred twenty-seven thousand, two hundred".